BSc Sem IV 2014 2015 2015 Phy Lll Question Paper - Mumbai University | munotes

Questions asked in this paper

• ii) Figures to the right indicate full

1. Q1 Attempt the following:
   • b) If and wo (x,t) are two solution of STDE for ap articular w(x,t) = ar + a2 is a solution of that equation where a; & a2 constants. Given how is k related (o
   • a) If wi(x) and w2(x) are the solutions of STIE for different energy eigen valu
   • b) What is an eigenvalue equation? What are eigen functions and es? WI meant by stationary states?
   • C) Attempt 5M]
   • a) Find the expectation value of x for a wave function, y(x) = sin(w !
   • b) The wave function for a free particle in a box is given by A sin Find its allowed energies Attempt the following:
   • a) Describe the experiment of Fizeau convection coefficient with the help of diagr
   • b) Prove that laws of motion are invariant under Galilean ansfor 1
   • B) Attempt any 1:- 7M]
   • a) Why the apparatus of Michelson — Morley experiment was rotated through Why did they repeat the experiment during day & night and during a | seaso ne
   • b) What is Newtonian principle of relativity? Discuss with examples, Why sh ou! laws of nature be the same in all inertial frames of reference?
   • C) Attempt any 5M]
   • a) The length of the rod is 100 m. if the length of this rod is measured by the obse vel moving parallel to its length is 51 m. find the speed of the observer
   • b) State and explain the fundamental postulates of special theory of
2. Q3 Attempt the following: ial? Discuss classically & quantum mechanically the
   • a) What is meant by zero potential’ and motion of a particle for zero potential. Find the expectation valu
   • b) potential? Discuss classical behavior of the motion of a particle when
   • a) Set up schrodinger’s equation for a particle in a one dimensional box. Solve it to obtain energy eigen functions and normalize them
   • b) What is meant by finite square well potential? How does it differ from infinite square well potential in physical behaviour?
   • C) Attempt any 5M]
   • a) Show that expectation of momentum of a particle in a dimensional box is zero Comment on the statement
   • b) Estimate the zero point energy for a neutron in a nucleus, by treating it as if it were in an infinite square well of width equal to a nuclear diameter of [Given :- m, = 1.67 x , h = 6.62 x 104 Js consider the problem to be one dimensional]
3. Q4 Attempt any 3:- 1SM]
   • a) What is meant by normalization of wave function?
   • b) represents the state of an oscillator of angular frequency Normalize the wave function and find the expectations of position and momentum
   • c) Calculate the percentage contraction of a rod moving with velocity 0.8 times the velocity of light in a direction at to its own length
   • d) A spaceship is 50m long on a ground, when it is in flight its length appears to be 49m to an observer on the ground. Find the speed of the spaceship Ana particle having energy 10 MeV approaches a potential barrier of height 50 MeV and width determine the transmission coefficient (my = 6.68 x
   • f) A dust particle of mass 4 x kg moving with velocity m/s impinges on a potential step whose height is twice its kinetic energy. Estimate its penetration distance in the classically forbidden region

Read from the scan above, so a character or two may differ. The scan is the original.